What is the best estimate of the sum of $14.30, $143.08, and $19.74

Answer:

BCDE= 100+ 80+100+80 = 360 degree

BAC = 20 degree

DBC = 100 degree

BDE = 80 degree

Shows all is correct

We associate isosceles trapezoid in this question, this helps us prove with angle A in the triangle vertices how we can find one of the adjacent angles from the trapezoid by subtraction when all angles within one single trapezoid = 360 degrees. We can use 20 degree angle A to subtract and find each alternative angle easier.

Step-by-step explanation:

The semi circle shows 9 stones

Where angles are interior to the trapezoid

Where all 4 sided shapes add up to 360 degree

We draw a line of symmetry on BCED angle

To make midway points BC  and DE = 90 degree

The two new formed shapes are still 4 sided and add up to 360 degree.

BC + DE = 180 degree

BDE = Triangle 180 -20/2 = 160/2 = 80

BCDE = Trapezoid = 360

Trapezoid angle DBC = 360-80-80/2 = 360-160/2 = 200/2 = 100 degree  

Finding interior angle A (BAC)

BAC = 180/9 = 20 degree

BAC * (2) = 360 degree circle

BAC = 360/18 = 20 degree

Proves BAC = 20 degree

20 degree is used in BAC workings above in bold and proves all trapezoid angles are correct. We now know this is an isosceles trapezoid and that is why symmetry and midway points can help us find the angles without any given length.

Answer:

Boys = 114

Girls = 145

Step-by-step explanation:

Boys = b

Girls = 2b-83

b+2b-83=259

3b=259+83

3b=342

b=114

Boys = b = 114

Girls = 2b-83=228-83=145

The number of boys is 114 and the number of girls is 145

The given expression in algebraic form is written as:

let the number of boys = b

then, the number of girls, g = 2b - 83

given total number of students, t = 259

To find:

Set the following equations to find the number of boys and girls:

number of boys + number of girls = total number of students

[tex]b + g = 259\\\\b + 2b -83 = 259\\\\3b = 259+83\\\\3b = 342\\\\b = \frac{342}{3} \\\\b = 114\\\\The \ number \ of \ girls = 2(114) - 83 = 145[/tex]

Thus, the number of boys is 114 and the number of girls is 145

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Answer:

  25%

Step-by-step explanation:

The ratio of rise to run is ...

  rise/run = 6 ft/24 ft = 1/4

Expressed as a percentage, this is ...

  1/4 × 100% = 25%

_____

Comment on this grade

Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!

Answer:

$4661.77

Step-by-step explanation:

100 + 4.7 = 104.7%

104.7% = 1.047

$2340.73 x 1.047^15 = $4661.77

You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.

Answer:

3x^2 +x -3

Step-by-step explanation:

f(x)= 3 and g(x) = 3x^2+x-6

f+g (x) =  3+  3x^2+x-6

Combine like terms

          = 3x^2 +x -3

Answer:

The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.

The formula to find slant height is l = √(h²+r²) where h represents height.

The lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

Given,

The height is 12 cm and the radius is 5 cm.

We are to find the lateral surface area of a cone.

The lateral surface area of a cone:

A = [tex]\pi[/tex] x r x l

where r = radius and l = slant height.

The slant height:

l = √(h²+r²)  where h =height.

We have,

h = 12 cm and r = 5 cm

l =√(h²+r²)

l = √(12^2 + 5^2)

l = √(144 + 25)

l = √169

l = 13 cm

Now,

l = 13 cm and r = 5 cm

A = [tex]\pi[/tex] x r x l

A =  [tex]\pi[/tex] x 13 x 5 = 65[tex]\pi[/tex] square cm

Thus lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

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Answer:

C. 567yd^3

Step-by-step explanation:

To find the volume of the right triangular prism, it is: 1/2a c h.

In this case, 1/2✖️9✖️6✖️21=567yd^3

So this means that option C is the correct answer.

Hope this helps!

Have a nice day:)

Answer:

567 cu. yard

Step-by-step explanation:

will make it simple and short.

Vol = area of a triangle x length

Vol = (1/2 * 6 * 9 ) * 21

Vol = 567 cu. yard

Answer:

2x+X=450

3x=450

X=450/3

X=150

so

2x=2*150=300

X=150

so, Jane addressed 300 envelopes while Louis addressed only 150

Answer:

Jane addressed 300 envelopes while Louis addressed 150

Step-by-step explanation: Let x represent Louis's amount and 2x is Jane's amount

x+2x= 450 combine 3x =450

Divide both sides by 3.

x/3 = 450/3 x= 150. 2x = 300

Answer:

-2y(y + 4)

Step-by-step explanation:

-10y^2 - 3y - (5y - 8y^2)

= -10y^2 - 3y - 5y + 8y^2

= -2y^2 - 8y

= -2y(y + 4)

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was  released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is  is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.

Given,

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.

The Average rate of change in T(d) for the interval  d = 4 and d = 10 is 0.

We have to find which statement is true.

Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.

Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.

Thus The correct option is A.

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Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

The total depth covered  by the diver is 27(1/24) yards.

Yard is a unit to measure length. 1 yard is equal to 36 inches.

1 yard= 3 feet or (0.9144 meter)

What is

Given that,

First time depth reached by diver = 17(2/3) yards

In the second time, the depth reached by the diver is 9(3/8) yards more than the first time,

To find total depth,

Add depth covered by first time and second time,

Total depth = 17(2/3)+9(3/8)

                   =53/3+75/8

                   = 27(1/24)

The total depth covered by the diver is 27(1/24) yards.

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Answer:

[tex]\huge\boxed{x = 28.3}[/tex]

Step-by-step explanation:

=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]

Cross Multiplying

=> x * 3 = 5 * 17

=> 3x = 85

Dividing both sides by 3

=> x = 85/3

=> x = 28.3 (To nearest tenth)

Answer:

[tex]\Huge \boxed{x=28.3}[/tex]

Step-by-step explanation:

The proportion is given,

[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]

We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.

Multiply both sides of the equation by 5.

[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]

Simplify the equation.

[tex]\displaystyle x=\frac{85}{3}[/tex]

[tex]x=28.33333333...[/tex]

The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).

Answer:

The cost might be or would be$53.00

Answer:

the answer to the question is letter E I believe

Answer:

Step-by-step explanation:

To find the side adjacent to the 50° angle we use tan

[tex] \tan( \alpha ) = \frac{opposite}{adjacent} [/tex]

From the question

The opposite is 6m

The adjacent is ?

So we have

[tex] \tan(50) = \frac{6}{?} [/tex]

[tex]? \tan(50) = 6[/tex]

[tex]? = 6 \times \frac{1}{ \tan(50) } [/tex]

But

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So we have

[tex] \frac{1}{ \tan(50) } = \cot(50) [/tex]

Substitute it into the expression

That's

We have the final answer as

[tex]? = 6 \cot(50) [/tex]

Hope this helps you

=====================================================

Explanation:

We're given an opposite side and an adjacent side. The tangent rule ties these two sides together. "tangent" is nowhere to be found in any of the answer choices, but cotangent is. Recall that

cot = 1/tan

which means

tan = opposite/adjacent

cot = adjacent/opposite

one is the reciprocal of the other

-----------

This means

cot(angle) = adjacent/opposite

cot(50) = x/6

6*cot(50) = x

x = 6*cot(50)

Answer:

You started at ( -3,5)

Step-by-step explanation:

You end at (4,5)

You got there by moving right 9 units so move left 9 units

Moving left is subtraction in the x direction

(4-9,5)

( -5,5)

Then move left 2 units so move right 2 units which is adding 2 in the x direction

( -5+2, 5)

( -3,5)

You started at ( -3,5)

Answer:

A

Step-by-step explanation:

From the graph we can notice that the coordinates of the poinrs x and y are:

● x(-2,0)

● y(3,-2)

There are many methods to find the distance between x and y. We will use the distance formula.

Let d be the distance between x and y.

● d = √[(-2-3)^2 + (0-(-2))^2]

● d = √[(-5)^2 + 2^2]

● d = √(25+ 4)

● d = √(29)

The other method was using the pythagorian theorem. d is the hypotenus.

Answer:

No solution.

Step-by-step explanation:

Distribute.

-3(2x + 1) = 2(-3x - 1)

-6x - 3 = -6x - 2

Combine like terms.

-6x - 3 = -6x - 2 add 3 to both sides

-6x = -6x + 1 add 6x to both sides

0 = 1 this is false.

Because we ended up with a false equation, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Perform the indicated multiplication, using the distributive property.

-3(2x+1)=2(-3x-1)  becomes -6x - 3 = -6x - 2

This has no solution because -3 is never equal to -2.

Answer:

Perimeter of the shaded region= 22/7cm

Area = 36.48 cm²

Step-by-step explanation:

First of all for the perimeter.

The radius of the arc is 8cm

At an angle of 90°

Perimeter of of the shape is perimeter of the the 2 arc

The both arc are equal so let's determine the perimeter of one first.

Perimeter of the arc= 2πr*(90/360)

Perimeter of the arc= 2*22/7*1/4

Perimeter of the arc= 11/7 cm

Perimeter of the shades region= 2*11/7

Perimeter of the shaded region= 22/7cm

Area of the sector = πr²*(90/360)

Area of the sector= 50.24cm²

Area of non sector= 64-50.24

= 13.76

But non sector is two

Area of non sector= 2*13.76

= 27.52

Area of the shaded region = area of the square -(area of non sector)

= 64-27.52

= 36.48 cm²

Answer:

x = 1

Step-by-step explanation:

−31−4x=−5−5(1+5x)

First step is to simplify both sides

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)

distribute

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)

and combine like terms

−4x−31=−25x+−10

−4x−31=−25x−10

Then add 25x to both sides

−4x−31+25x=−25x−10+25x

21x−31=−10

Add 31 to both sides

21x−31+31=−10+31

21x=21

And divide by 21!

21x/21 = 21/21

x=1

Answer:

X=1

Step-by-step explanation:

First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)

C)

Because if you choose some points for example x = 0 and x = 3.14 (≈ pi)

you will see that there's only one match.

Answer:

Option C. y = cos x -2

Step-by-step explanation:

Answer:

[tex]d=\sqrt{73}[/tex]

Step-by-step explanation:

[tex]Q(5, -1)[/tex]

[tex]P(-3, 2)[/tex]

Using the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]

[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]

[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{73}[/tex]

[tex]d\approx 8.5[/tex]

Answer:

The answer is -10/77 .

Step-by-step explanation:

In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :

[tex] \frac{xy}{z} = xy \div z[/tex]

[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]

[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]

[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]

[tex] = - \frac{10}{77} [/tex]

Answer:

approximately 5.36

Step-by-step explanation

20 - 9.28 = 10.72

BD = EC

10.72/2 = 5.36